Question

what is the value of the rational expression \\(\frac{2x + 1}{x^2}\\) when \\(x = 5\\)? \\(\frac{2}{5}\\) \\(\frac{3}{5}\\) \\(\frac{11}{25}\\) \\(\frac{11}{10}\\)

Explanation:

Step1: Substitute $x=5$ into numerator

$2(5) + 1 = 10 + 1 = 11$

Step2: Substitute $x=5$ into denominator

$5^2 = 25$

Step3: Form the simplified fraction

$\frac{\text{Numerator Result}}{\text{Denominator Result}} = \frac{11}{25}$

Answer:

$\frac{11}{25}$